u^2+2u+8u+16=0

Solution for u^2+2u+8u+16=0 equation:

Simplifying
u2 + 2u + 8u + 16 = 0

Reorder the terms:
16 + 2u + 8u + u2 = 0

Combine like terms: 2u + 8u = 10u
16 + 10u + u2 = 0

Solving
16 + 10u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(8 + u)(2 + u) = 0

Subproblem 1
Set the factor '(8 + u)' equal to zero and attempt to solve:

Simplifying
8 + u = 0

Solving
8 + u = 0

Move all terms containing u to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + u = 0 + -8

Combine like terms: 8 + -8 = 0
0 + u = 0 + -8
u = 0 + -8

Combine like terms: 0 + -8 = -8
u = -8

Simplifying
u = -8
Subproblem 2
Set the factor '(2 + u)' equal to zero and attempt to solve:

Simplifying
2 + u = 0

Solving
2 + u = 0

Move all terms containing u to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + u = 0 + -2

Combine like terms: 2 + -2 = 0
0 + u = 0 + -2
u = 0 + -2

Combine like terms: 0 + -2 = -2
u = -2

Simplifying
u = -2
Solution
u = {-8, -2}